1. The problem is to write the sum $30 + 4 + \frac{3}{10} + \frac{0}{100} + \frac{8}{1000}$ as a decimal number. 2. Recall the place value system: units, tenths ($\frac{1}{10}$), hundredths ($\frac{1}{100}$), and thousandths ($\frac{1}{1000}$). 3. Write each term as a decimal: - $30$ is $30.0$ - $4$ is $4.0$ - $\frac{3}{10} = 0.3$ - $\frac{0}{100} = 0.00$ - $\frac{8}{1000} = 0.008$ 4. Add the whole numbers first: $$30 + 4 = 34$$ 5. Add the decimal parts: $$0.3 + 0.00 + 0.008 = 0.308$$ 6. Combine the whole number and decimal parts: $$34 + 0.308 = 34.308$$ 7. Therefore, the sum written as a decimal is $\boxed{34.308}$.